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We know that h is a vector-valued function. This means it takes one number as an input (t) ,but it outputs two numbers as a two-dimensional vector. 

Finding the derivative of a vector-valued function is pretty straightforward. Suppose a vector-valued function is defined as  then its derivative is the vector-valued function  . 

In other words, the derivative is found by differentiating each of the expressions in the function's output vector.

Recall that  

Let's differentiate the first expression:

 

Let's differentiate the second expression:

 

Now let's put everything together:

 

 

In conclusion,